Math, asked by NasDaily, 4 months ago

Findx if (11/9)^3× (11/9)^6= (11/9)^2x-1.

Answers

Answered by asahilthakur
5

Answer:

x = 5

Step-by-step explanation:

(11/9)^3 × (11/9)^6= (11/9)^2x-1

=> (11/9)^3+6 = (11/9)^2x-1

=> (11/9)^9 = (11/9)^2x-1

When the bases are same, we equate the powers.

=> 9 = 2x-1

=> 9+1 = 2x

=> 10 = 2x

=> x = 10 ÷ 2

=> x = 5

Answered by Drakeisback
2

x = 5

Step-by-step explanation:

(11/9)^3 × (11/9)^6= (11/9)^2x-1

=> (11/9)^3+6 = (11/9)^2x-1

=> (11/9)^9 = (11/9)^2x-1

When the bases are same, we equate the powers.

=> 9 = 2x-1

=> 9+1 = 2x

=> 10 = 2x

=> x = 10 ÷ 2

=> x = 5

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